{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 9 - Clustering\n",
    "\n",
    "1 - Aplique os algoritmos K-means [1] e AgglomerativeClustering [2], experimentando as medidas de distância disponíveis. Compare os resultados, utilizando métricas de avaliação de clusteres (completeness e homogeneity, por exemplo) [3].\n",
    "\n",
    "* [1] http://scikit-learn.org/stable/modules/clustering.html#k-means\n",
    "\n",
    "* [2] http://scikit-learn.org/0.17/modules/clustering.html#hierarchical-clustering\n",
    "\n",
    "* [3] http://scikit-learn.org/stable/modules/clustering.html#clustering-evaluation\n",
    "\n",
    "2 - Aplique o Método da Silhueta (Utilize silhouette_score [4] e/ou silhouette_samples [5]) em relação aos resultados do algoritmo K-means. Observe o resultado da avaliação (entenda as saídas dos métodos, conforme referências abaixo) e identifique a qualidade da sua clusterização. \n",
    "\n",
    "* [4] http://scikit-learn.org/0.17/modules/generated/sklearn.metrics.silhouette_score.html#sklearn.metrics.silhouette_score\n",
    "\n",
    "* [5] http://scikit-learn.org/0.17/modules/generated/sklearn.metrics.silhouette_samples.html#sklearn.metrics.silhouette_samples\n",
    "\n",
    "3 - Qual o valor de K (número de clusteres) você escolheu para a questão anterior? Desenvolva o Método do Cotovelo (não utilizar lib!) e descubra o K mais adequado. Após descobrir, aplique novamente o K-means com o K adequado. \n",
    "\n",
    "* Ajuda: atributos do [k-means](http://scikit-learn.org/0.17/modules/generated/sklearn.cluster.KMeans.html#sklearn.cluster.KMeans)\n",
    "\n",
    "4 - Após a questão 3, você aplicou o algoritmo com K apropriado. Refaça a questão 2 de acordo com os resultados de clusters obtidos com a questão anterior e verifique se o resultado melhorou.\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.datasets import load_iris\n",
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn import decomposition\n",
    "from sklearn import metrics\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "from sklearn.cluster import KMeans\n",
    "from sklearn.cluster import AgglomerativeClustering\n",
    "from scipy.spatial.distance import cdist\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import pandas as pd"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {},
   "outputs": [],
   "source": [
    "dataset = load_iris()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {},
   "outputs": [],
   "source": [
    "X = dataset.data\n",
    "Y = dataset.target"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "array([[ 5.1,  3.5,  1.4,  0.2],\n",
       "       [ 4.9,  3. ,  1.4,  0.2],\n",
       "       [ 4.7,  3.2,  1.3,  0.2],\n",
       "       [ 4.6,  3.1,  1.5,  0.2],\n",
       "       [ 5. ,  3.6,  1.4,  0.2],\n",
       "       [ 5.4,  3.9,  1.7,  0.4],\n",
       "       [ 4.6,  3.4,  1.4,  0.3],\n",
       "       [ 5. ,  3.4,  1.5,  0.2],\n",
       "       [ 4.4,  2.9,  1.4,  0.2],\n",
       "       [ 4.9,  3.1,  1.5,  0.1],\n",
       "       [ 5.4,  3.7,  1.5,  0.2],\n",
       "       [ 4.8,  3.4,  1.6,  0.2],\n",
       "       [ 4.8,  3. ,  1.4,  0.1],\n",
       "       [ 4.3,  3. ,  1.1,  0.1],\n",
       "       [ 5.8,  4. ,  1.2,  0.2],\n",
       "       [ 5.7,  4.4,  1.5,  0.4],\n",
       "       [ 5.4,  3.9,  1.3,  0.4],\n",
       "       [ 5.1,  3.5,  1.4,  0.3],\n",
       "       [ 5.7,  3.8,  1.7,  0.3],\n",
       "       [ 5.1,  3.8,  1.5,  0.3],\n",
       "       [ 5.4,  3.4,  1.7,  0.2],\n",
       "       [ 5.1,  3.7,  1.5,  0.4],\n",
       "       [ 4.6,  3.6,  1. ,  0.2],\n",
       "       [ 5.1,  3.3,  1.7,  0.5],\n",
       "       [ 4.8,  3.4,  1.9,  0.2],\n",
       "       [ 5. ,  3. ,  1.6,  0.2],\n",
       "       [ 5. ,  3.4,  1.6,  0.4],\n",
       "       [ 5.2,  3.5,  1.5,  0.2],\n",
       "       [ 5.2,  3.4,  1.4,  0.2],\n",
       "       [ 4.7,  3.2,  1.6,  0.2],\n",
       "       [ 4.8,  3.1,  1.6,  0.2],\n",
       "       [ 5.4,  3.4,  1.5,  0.4],\n",
       "       [ 5.2,  4.1,  1.5,  0.1],\n",
       "       [ 5.5,  4.2,  1.4,  0.2],\n",
       "       [ 4.9,  3.1,  1.5,  0.1],\n",
       "       [ 5. ,  3.2,  1.2,  0.2],\n",
       "       [ 5.5,  3.5,  1.3,  0.2],\n",
       "       [ 4.9,  3.1,  1.5,  0.1],\n",
       "       [ 4.4,  3. ,  1.3,  0.2],\n",
       "       [ 5.1,  3.4,  1.5,  0.2],\n",
       "       [ 5. ,  3.5,  1.3,  0.3],\n",
       "       [ 4.5,  2.3,  1.3,  0.3],\n",
       "       [ 4.4,  3.2,  1.3,  0.2],\n",
       "       [ 5. ,  3.5,  1.6,  0.6],\n",
       "       [ 5.1,  3.8,  1.9,  0.4],\n",
       "       [ 4.8,  3. ,  1.4,  0.3],\n",
       "       [ 5.1,  3.8,  1.6,  0.2],\n",
       "       [ 4.6,  3.2,  1.4,  0.2],\n",
       "       [ 5.3,  3.7,  1.5,  0.2],\n",
       "       [ 5. ,  3.3,  1.4,  0.2],\n",
       "       [ 7. ,  3.2,  4.7,  1.4],\n",
       "       [ 6.4,  3.2,  4.5,  1.5],\n",
       "       [ 6.9,  3.1,  4.9,  1.5],\n",
       "       [ 5.5,  2.3,  4. ,  1.3],\n",
       "       [ 6.5,  2.8,  4.6,  1.5],\n",
       "       [ 5.7,  2.8,  4.5,  1.3],\n",
       "       [ 6.3,  3.3,  4.7,  1.6],\n",
       "       [ 4.9,  2.4,  3.3,  1. ],\n",
       "       [ 6.6,  2.9,  4.6,  1.3],\n",
       "       [ 5.2,  2.7,  3.9,  1.4],\n",
       "       [ 5. ,  2. ,  3.5,  1. ],\n",
       "       [ 5.9,  3. ,  4.2,  1.5],\n",
       "       [ 6. ,  2.2,  4. ,  1. ],\n",
       "       [ 6.1,  2.9,  4.7,  1.4],\n",
       "       [ 5.6,  2.9,  3.6,  1.3],\n",
       "       [ 6.7,  3.1,  4.4,  1.4],\n",
       "       [ 5.6,  3. ,  4.5,  1.5],\n",
       "       [ 5.8,  2.7,  4.1,  1. ],\n",
       "       [ 6.2,  2.2,  4.5,  1.5],\n",
       "       [ 5.6,  2.5,  3.9,  1.1],\n",
       "       [ 5.9,  3.2,  4.8,  1.8],\n",
       "       [ 6.1,  2.8,  4. ,  1.3],\n",
       "       [ 6.3,  2.5,  4.9,  1.5],\n",
       "       [ 6.1,  2.8,  4.7,  1.2],\n",
       "       [ 6.4,  2.9,  4.3,  1.3],\n",
       "       [ 6.6,  3. ,  4.4,  1.4],\n",
       "       [ 6.8,  2.8,  4.8,  1.4],\n",
       "       [ 6.7,  3. ,  5. ,  1.7],\n",
       "       [ 6. ,  2.9,  4.5,  1.5],\n",
       "       [ 5.7,  2.6,  3.5,  1. ],\n",
       "       [ 5.5,  2.4,  3.8,  1.1],\n",
       "       [ 5.5,  2.4,  3.7,  1. ],\n",
       "       [ 5.8,  2.7,  3.9,  1.2],\n",
       "       [ 6. ,  2.7,  5.1,  1.6],\n",
       "       [ 5.4,  3. ,  4.5,  1.5],\n",
       "       [ 6. ,  3.4,  4.5,  1.6],\n",
       "       [ 6.7,  3.1,  4.7,  1.5],\n",
       "       [ 6.3,  2.3,  4.4,  1.3],\n",
       "       [ 5.6,  3. ,  4.1,  1.3],\n",
       "       [ 5.5,  2.5,  4. ,  1.3],\n",
       "       [ 5.5,  2.6,  4.4,  1.2],\n",
       "       [ 6.1,  3. ,  4.6,  1.4],\n",
       "       [ 5.8,  2.6,  4. ,  1.2],\n",
       "       [ 5. ,  2.3,  3.3,  1. ],\n",
       "       [ 5.6,  2.7,  4.2,  1.3],\n",
       "       [ 5.7,  3. ,  4.2,  1.2],\n",
       "       [ 5.7,  2.9,  4.2,  1.3],\n",
       "       [ 6.2,  2.9,  4.3,  1.3],\n",
       "       [ 5.1,  2.5,  3. ,  1.1],\n",
       "       [ 5.7,  2.8,  4.1,  1.3],\n",
       "       [ 6.3,  3.3,  6. ,  2.5],\n",
       "       [ 5.8,  2.7,  5.1,  1.9],\n",
       "       [ 7.1,  3. ,  5.9,  2.1],\n",
       "       [ 6.3,  2.9,  5.6,  1.8],\n",
       "       [ 6.5,  3. ,  5.8,  2.2],\n",
       "       [ 7.6,  3. ,  6.6,  2.1],\n",
       "       [ 4.9,  2.5,  4.5,  1.7],\n",
       "       [ 7.3,  2.9,  6.3,  1.8],\n",
       "       [ 6.7,  2.5,  5.8,  1.8],\n",
       "       [ 7.2,  3.6,  6.1,  2.5],\n",
       "       [ 6.5,  3.2,  5.1,  2. ],\n",
       "       [ 6.4,  2.7,  5.3,  1.9],\n",
       "       [ 6.8,  3. ,  5.5,  2.1],\n",
       "       [ 5.7,  2.5,  5. ,  2. ],\n",
       "       [ 5.8,  2.8,  5.1,  2.4],\n",
       "       [ 6.4,  3.2,  5.3,  2.3],\n",
       "       [ 6.5,  3. ,  5.5,  1.8],\n",
       "       [ 7.7,  3.8,  6.7,  2.2],\n",
       "       [ 7.7,  2.6,  6.9,  2.3],\n",
       "       [ 6. ,  2.2,  5. ,  1.5],\n",
       "       [ 6.9,  3.2,  5.7,  2.3],\n",
       "       [ 5.6,  2.8,  4.9,  2. ],\n",
       "       [ 7.7,  2.8,  6.7,  2. ],\n",
       "       [ 6.3,  2.7,  4.9,  1.8],\n",
       "       [ 6.7,  3.3,  5.7,  2.1],\n",
       "       [ 7.2,  3.2,  6. ,  1.8],\n",
       "       [ 6.2,  2.8,  4.8,  1.8],\n",
       "       [ 6.1,  3. ,  4.9,  1.8],\n",
       "       [ 6.4,  2.8,  5.6,  2.1],\n",
       "       [ 7.2,  3. ,  5.8,  1.6],\n",
       "       [ 7.4,  2.8,  6.1,  1.9],\n",
       "       [ 7.9,  3.8,  6.4,  2. ],\n",
       "       [ 6.4,  2.8,  5.6,  2.2],\n",
       "       [ 6.3,  2.8,  5.1,  1.5],\n",
       "       [ 6.1,  2.6,  5.6,  1.4],\n",
       "       [ 7.7,  3. ,  6.1,  2.3],\n",
       "       [ 6.3,  3.4,  5.6,  2.4],\n",
       "       [ 6.4,  3.1,  5.5,  1.8],\n",
       "       [ 6. ,  3. ,  4.8,  1.8],\n",
       "       [ 6.9,  3.1,  5.4,  2.1],\n",
       "       [ 6.7,  3.1,  5.6,  2.4],\n",
       "       [ 6.9,  3.1,  5.1,  2.3],\n",
       "       [ 5.8,  2.7,  5.1,  1.9],\n",
       "       [ 6.8,  3.2,  5.9,  2.3],\n",
       "       [ 6.7,  3.3,  5.7,  2.5],\n",
       "       [ 6.7,  3. ,  5.2,  2.3],\n",
       "       [ 6.3,  2.5,  5. ,  1.9],\n",
       "       [ 6.5,  3. ,  5.2,  2. ],\n",
       "       [ 6.2,  3.4,  5.4,  2.3],\n",
       "       [ 5.9,  3. ,  5.1,  1.8]])"
      ]
     },
     "execution_count": 78,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n",
       "       0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n",
       "       0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n",
       "       1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n",
       "       1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,\n",
       "       2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,\n",
       "       2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2])"
      ]
     },
     "execution_count": 79,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Y"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "metadata": {},
   "outputs": [],
   "source": [
    "def PlotClusters(reduced_data_df, clustering):\n",
    "    fig, ax = plt.subplots()\n",
    "    ax.scatter(reduced_data_df[0], reduced_data_df[1], c=clustering)\n",
    "    plt.show()\n",
    " # Original   \n",
    "def PlotOrig(reduced_data_df, y):\n",
    "    fig, ax = plt.subplots()\n",
    "    ax.scatter(reduced_data_df[0], reduced_data_df[1], c=y)\n",
    "    plt.show()\n",
    "    return"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "metadata": {},
   "outputs": [],
   "source": [
    "kmeans = KMeans(n_clusters=3, random_state=0).fit(X)\n",
    "predictions = kmeans.predict(X)\n",
    "reduced_data = decomposition.PCA(n_components=2).fit_transform(X)\n",
    "reduced_data_df = pd.DataFrame(reduced_data)\n",
    "reduced_data_df[2] = predictions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fd9e0f617b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fd9e0ea7828>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "PlotClusters(reduced_data_df, reduced_data_df[2])\n",
    "# Original\n",
    "PlotOrig(reduced_data_df, y)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fd9e0e44668>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fd9e0e444e0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "agglo = AgglomerativeClustering(n_clusters=3, affinity=\"euclidean\", linkage=\"complete\").fit_predict(X)\n",
    "PlotClusters(reduced_data_df, agglo)\n",
    "# Original\n",
    "PlotOrig(reduced_data_df, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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kOxw4LFZcVitXdzyN+/ucXmU2CCF4sO8ZYQ8hp9XKQ/3OqDI7ykM0sn0aAbuOeb0bMOtHeJkQoj+wEbhHSrnLZMyJg7U9+GYTOe1TC2b8KBTl5Nv/TuHjp75C0zT8vgA9h3ThoU/uwBVvPtMsLctnrcFb4As7brVZ2bRkKw1b1a/Q9aNBtsfDRyuWMn3LZlJdLkaf1pWzW7QKG3dlx86MaN+RDLebJIcDh7XqExiHt+tAnM3OawvmsTc3h1apaTzU7ww61KnHtC2biLPa6N24SbXrFBaNn5RZQmtxjzgF+EJK6RVCjAE+Bs4Ku5AQNwM3AzRtWr1lEUTi3cjDfxPWlesIMgC20457HSl94FsGSLB3RYiqiVUqqjdzv/+bj578Cm/B0T2lRb8s49Ub3+LxL++t0LUbtW6A1WYl4A/dpJRSUqdp7QpdOxrker0M+/JT0vPz8RXuQyzdt49buvfg9p59wsZbNI068fFVbWYIQ9q0ZUibtkWvP1u5nH9OnhR0+BKsFo0PL7qMzvVi/2A9QjTCPruBJse8bgzsPXaAlPKwlPLIb/G7QDezC0kpJ0opu0spu9epU72bKQtbO0Tap2A1q6K2QuLDCK3kX0jpnY9M74vMugWZdSsyvQ/SW70zBBRVw5cvTQpx/AA+j5+/flxEXlZ+ha594a2DsNpDZ6EWq4W6zepwaq82Fbp2NPh89UoO5RcUOX4Ad8DP+EV/k+WJMNmqRqxJP8ALf87Gq+vk+Xzk+X1keTyM/uHbkM8Ua6Lh/BcBbYQQLURw2joSmHzsACFEg2NeXgisi8J9Y46wdYK4y4Hiy3ALyGykdCPdk5H57yN9y0I2gKWRhcwaAzKnsCAsD2Ru8CFgZFTp51BUPzL3hzcCArBYLORmVCycWL95XZ7/+VHqt6iL3WnDZrfSaUA7xv72ZLWoTJ21fSsePVxb326xsOrAgRhYVDa+WrPK1MnrhmTerh0xsMicCod9pJQBIcTtwDTAAnwgpVwjhHgWWCylnAzcKYS4EAgAGcDoit632pBvlvXjhbx3kPkfAIFgz15hA1sPSHkbIWxB/X+z7QIpwf0zxF9T+bYrqi0dB7Rj1hd/hjVlsTqs1C0hNLNxyRa+e+0nDuw4SLdzO3PR7eeTlBpeZd6pfzs+2fwmh/dmYHfZTceUhT05OYxbOJ+/9+ymQUIiY7r3pH+z5uW6Vv2EBAThfx66IUmLq/6Fkzler2mRmUSS5wvfa4kVUdkdkVJOBaYWO/bkMd8/AjwSjXtVO/T0CCcKQn97ZQB8C5DpZyFlBggn5jUCvuBqQFGjGf3MCP7+aQmefE9RYxZHnINbXhuNxWq+cTj7678Ye/14fF4/0pBsWrKVn96ZwYRlY0mpmxw2XghB7UYVT0fcnZPN0M8/Jd/vQ5eSHdlZrDiwj8f7n8moDp3KfL3RnbsyfcvmkMIpixA0Tkri1NrVOxwMMKh1G37btoWCYvn/fsOgT+Pqs5epKnwrirUsMVIfyAOAH2QuEN5tCRxg7xcd2xQnLA1a1mPCsrGcN/pMGrVtQNdzO/HclIc579qBpuP1gM7/3TIRr9uHLFwt+Dx+cg7l8OVLkyrV1nELFxQ5/iMEZRZmh4U/SlP70rl+A/595jnE2+wk2OzYLRbqJyRwd+++FbLTp+scKihAN+lvHE3Oa9maLvUbEGezAcGMGJfVyj29+1K7Gq1clJ5/BTGynwb358WO2gj+l5d1iecCx0BErf+rFrFXxYnDjrW7uKP3o7jzwgsPG7VpwEcb3qi0ew/46D125YTXIcTbbEwacRWtU9P4e/cunpn9OxsOHyLJ4eCG07pxa49eWEpoLpPtcXPl99+wNTMTTQRXKk2Skvnisiuo5XSV2j7dMPjPvLl8tmo5hpS4bDYe6tufER06luvzloaAYTBt8yZ+3rSBBLudkR060bVBw0q737GUVs9fqXpWAOmdC26TWZXWFHCDsTf8XBjWQulnOyLuUnCcpxy/oswkpCQQCJhnkiSlmcsgRIt6CQmmzt9vGKS6XKxOP8ANk78vCuNke71MWLKQDI+bpwaEZXwX8cbCBWzNzMB7zOpha2YGj//+G28OGVZq+/7zV9DxH7m/V9d5Zs7vLNizC5fVSs9GTRjcuk1UawSsmsYFbU/hgranRO2a0UaFfUqJNLKR/lUhmTgy/31M8/yN3ZD4GIh4jmYCRfhRCzsiZSJa6kSE83yEUP8lirKT1iCFU3u1wWoL3Q9wxju47J7SO8rycEv3nmEVrg6LhYHNWpDqimPcwvmm6ptfrl5Jrje47yWlZEdWFruPeYh8v25NiOOH4ANl+tbNBApDN3tzc3js9xmc9cn7jPruK2Zv3xYy3qfrfLZyeZjwmicQYPKGdXy5ZhWP/zGDC7/8rMiWmoKa+R8HKQ1k7nNQ8E2wSbv0ILXaYD8PAhEkHoQNYa0Pdf4A909I40BQ3jnvLUI3eV0Qd70q7FKE8ffUpXzy1Ffs25ZO47YNuPapK+g+qOSiwSe+vpfHh77I9jW7sdos+L1+Lr1nKP2H965UW89s3pKH+vVn7F9zgaCD7t+sOa+eNxiADYcPmSa22TQLe/Ny8WRlcucvP3GwIFi/0DgpmbeGDMMfITZvSIkhJXtycxj6+Sfk+3wEpGR7VhYrD+znkdMHcHWn4M8q2+uJKO985GiB38+O7CzeXbqIe6tQGiLWqJj/cTDyJkLeeCJW8poh4hF1FyBEqNyz4Z4BeS8GFUFFIsTfhIi/Sc32FSH88dU8Xr3xrTAJhrbdW/HclIdJqVerxPfvWLebw3szad2leYVTOMuCNxBgR3YWaa64kJTMMT/9yIytm8MeAA6LhRnXXM+Q/31Cnv/oZxVALaeLno0a8dvWLSEbyQLo1qARX18+ksd+n8E3a1YRKObD4m02Ft90Kw6rFd0w6PHe22SVQuK5aXIys6478QWHVQ/faFHwEWVy/DiD1b0iXOdfc52LVud3RL3ViLqL0BL+pRy/IgQpJRPv/8RUe2fjki08cM4zx82YaXZqY7qe3bFKHT+Aw2qlbVrtsFz8O3r2xmmivnlVx878vm1rUQjnCBLw6QF6NWqC/Rg9HE0I4u12Xjz7XADm794Z5viDCLZlZQJB6YeH+vYPC0uZ2m+pWYEQ5XmOh1HanHsbOM5CpL6HFjeixJFCnBg9PhVVj6fAS+YB8+peJKTvOMTa+cEOUdtW7+TLl3/g+9d/5tCew1VoZdloX7ceH118GR3q1kMTglSni9t69ObRMwayLzfXtJrXpxt8sXplSMhGSokmRFGmT/1484dbwNCpHXdUWmVEh478d9AQTq1dh2SHk3ibLUyQzGW1cmXHzhX/sCcQNetRV0akNMDSDPRNxx8sbGgpEyrfKMVJjcNlx+FyUJAbYbUpBAd2HGTeDwuZPP5XAn4di1Xj/Uf+x30f3MpZI8sfs/Z5fKxfuBmHy06bbi3RSkjDLCs9GjZm8sirw453a9iQuFW2sIIoTQh2ZGeF1AlIgqGl/61aQevUVNMMI7vFQr8mzcLy6Qe1asOgVsGanJ3ZWYz49ivyfD50GVx19G/WnKuU81dAUG1TZtwAeimVp8tU7KVQmKNpGsPvG8bnL3xPwBc+I9YDOkITTH5rGl63r+gYwKs3vk2PQaeRmFL21M45387nlRvfQgiBNCQJKfE8/9MjtOjYrGIf6Dic2bwlrVPT2HDoEN7CFYDTaqVlSgo7s7PDisS8us7UTRvYlZMdlsFj0zROb9KM1wYNKfGeTZNrMff6m5i7czsH8vLoXL9BtakczvP52JJxmHoJCdRPqNywnXL+EZAF3xQ2YylNL1ABic9WtkmKGsJVj1+GJ9/L16/8GCIR4oiz02dYd9b8uQ6fO3xPwGLRWPTLMs66MrSJyLbVO/nt0zl43V5Ov6QXnQe2Dwk77t64l/9c92bRwwTAnefhvrOf4b6FT7CvIJ/2depyap26Uf+sFk3ji0uv4IPlS5i0fi1WoTGiQ0d6NGzMiG+/DBtvt1jYnpWJzyQT6LT6DXnvwktKdV+rpnFm85YVtj9aSCkZt3ABE5YsxKpp+HWdvk2a8vr5QyutJaVy/pFw/4C543eCpSnoWwjKM1gBAdn3IRPvQzjPrlIzFScfmqZx08tXc/Edg/nwsc9ZPGMlrngHw24ZxCV3DuGlq1+PuOlb/PAPb07lvYf+h98XQBoG0z78g36X9OKhj28vegD88v7MkK5eAIEEK+tubsVNU35EWDRA0rNRYyZccFHUG6a4bDZu69Gb23qEpqR2rFuP5fv34zOO2mbVNAIRZJE3ZxyKql1VyU+bNvDOkoUh9RDzdu7kod9+ZfyQCyvlnmrDNxIiQtcdoSFqvYKo9SbgAPyAD/TNyKx7MNy/VKGRipOZOo3TePDjO/h677t8vOlNLr5jMM8Mf4V5P5qnQOsBg55DuhS9zjyQxbsPfobX7cPQDaQET76XeZP+Ztnvq4+OS88uCh0dIf3KVnhT7Xikjjvgxx0I8Pee3by9eGGFP5c3EODXzZv4du1q9pTQ5Py9Cy9lWNtTsFssaELQqW59Pr14eERJiEaJSRW2LVa8s2RRWBjLZ+jM3LaVHG9pog9lR838IyDirkBmryMszVPUAuspyKw7CV8ZeCBvLLgGV5GViprEj2/+wtLfVuH3hm6OCiGwOazc9/6YkHj/4mkrChVAQ8d78r3M/XY+Xc8Oatv0GtyVud8uwJMfLEA07BrutslgDXWynkCAr9asqpDA2or9+7j2h+8wpERKiS4NbuzSjfv7hve7TbDbGXveYF46ZxC6lEVpn1d3PC1ErgGC2Tp39aqY8FssOVxQYHrcIgTZHi9Jjoq17jRDzfwj4bwYHGcSlGewB6UaRBIiZXxwuRypgbu+u2hJLj0zMA6ej7G/A8bBQUjP9CozX3Fi8ffUpdzW4yEuSRvNvQOeZPW89WFjfn73t7DuXgCaRfD6vOc4a1SoA7U5rGCSUqxpArvraBy53yU9admpGY64YG2KtAjz5qxQtCkbiV3Z2Uzbsok16eFNVwKGwQ2TJ5Hr85Lv91EQ8OPVdT5cvqzEJicWTQvJ93+w3xlc17kLcVYbdouFVJeLZweezdktw3v8nij0bdIUzeT/ymW10TCxcjZ+1cw/AkJoiJT/Q/rXgm8haGngPAchCtUEtXpg7At/o1YHIQSGexpkP0DR6kDfhsy6H5n8Epqr5GwERc2ieEXvqrnrePi8f/PCL4/RqX+7onF+r7njtdisJJoUdPUc0hVpsjFqc9g495oBRa+tNitjf3+a6R/N4o8v/sSZ4MBwJbLTF9ou0qppnNuytakNumFw/4xf+XXzRmwWC7ph0Do1jY8vvqwoL3/Rnt34TeL17oCfL1evQiB44c/ZbDx8iNquOG7t0YurOnYOq4mxaBoP9uvPPb37kefzkex0mjrOE4m7e/VlZmEPgIBhIAhmPT0z8OwSlU8rgpr5Hwdha4eIH41wDSty/DKwDTDbgXdB/O3Bb/PGYh4WeqUSrVWcaESq6PW6fUx88NOQYwNH9MXmsIVdI61Biml3r7hEF09+ez/OOAeuRCfOeAc2h41rnxlB6y4tQsbaHTaG/utcXp31DM//9CjjL72EBJsdR+GM22W1Ujsujvv7mtcRfLh8KdO3bCrqW+sOBFh/6CAPzJh29DPputlCBIB9ubn8c8ok1h5MJ2AY7M/P48U/ZzOhhD0Gm8VCist1wjt+gCbJyfxy5XVc2aETbdNqc3aLVnxyyfBKVQVVM/8yIo085OERIIsXmGiQcC8ibmTwZaT6AH0PUkpV4VvDycnIZcYns9m2aheH92Wajtm+OjS0OPLhS/jrx0Wk7zqMJ8+D3WnDYrXw8Gd3Rvx96jHoNL7a9y4LflqCz+2j+/mnUbth6nHta1+3HjOvu4Gv16xia2YmXRs05OJTTiU+QtrhpybKmX7DYM6ObeT7fMTb7fRo2MhUrM1ltZHj9Zgqf761eCE3du0eEvY5WWmQmMjTA6suW/Ckc/7S8xsy7/9A3w2WlojE+xGOKG4EeX4K9uQNk6lyIqxNAR+y4CeCKwMTiVitrnL8NZxtq3dyzxlPEPAFQnLri1PcSccnxfH20rH8+d0CVs5ZR/2WdRl03cAtqhU5AAAgAElEQVTjCr3FJbo4a1TZK3/rxMWHpV9GIt8f+XN4AgHi7Xbi7Xb+1bUH4xYtKJJtcFmtdGvQkLWHzNuh6tLgcEEBDSop7l2TOamcv+GeAtmPURRuCaxGZo4JNk13RKc1YjDkY1Z6H0AGtkDefws3g820wV2QcGdU7FCcuIy9fjz52ebZHUdwxDm4+snLw47bHTbOuvKMsEKuWDOwWQsmrV8bNiVqlJhEqisYLv1xwzreWbqoKCFCEwKHxcor553PbVOnkOEO/7sSiKL3K6LLSRPzl1JCrnmcXea+XPHre//GOHQpFHyKaSqEsAalmgM7QJo8HLQ0SHoU4boE6VuB9K8tVT9TxclFfk4BW1dEzmyxO20k1Irnny9dyTlX969Cy8rPx8uX8cOGdSGO34LAZbXx0jmDEELg13We/OM3PIFA0ThDSvL9Pj5YtoR7e/czVf68sUu3qBeVKYKcRD9VPxjmS0cC28yPlxLpW4zMvInIUg92sLSCwJoIY+IheRwCDzK9b9BWJIjk4KrE1s7kPYqTEc2iRUyjTKmfzDvLXiEpLbEwP7/6s3DPbp6Z83vYcYlk8siraZUaDF1tzswwbariNwxmbtvKw6cPYNzgoTw3ZxY7srNIdjj4V7ee3NytR6V/hprKSeT8bcEGKWEbsYClXqmvIqUP9ANgqX00uyf3VSI7/loQdzEi4a7Cwi8ThAF4kZm3ERIykgXIjOug7lyEiH4Rh6L64Yp30uXMDiz7fRV64Ojmp91p4/zrzzpu/L44VZ084A0EWHfoIAl2O61SUnl+7izTcQaweN/uIuef7HCE6fYf4UhY5+wWrTi7RSt0w6i09EbFUU4a5y+EQMaPgbw3CI3JuyD+juO+X0qJzJ8A+e8AEqRExo1CJD4Igc0R3uVA1PkFYUkLvoy7GulbXOz+ArS64FsJmGmSBMD7BzhVVXBN4f4Pb+Pe/k+QmZ6NETAQmqBt91Zc9fhlpb7GnG/n8+5Dn7F/ezqp9VO45qnLueCmcyr1QTB5wzoe//03EMG8/sZJyRwqyI84ftPhoz0GGiYm0bFefZbv3xfyEDgS2jkW5firhpPG+QOI+BuQ6EEHLt3BlUDCPWhxFx33vbLga8ibQIjjLvgSKeLB0hgCJisKYQHtGD0Rx0CIuxYKPgRhJxjaSUSkTETmfwaYZETIABjmqX6Kk5O0Bil8sP51ls1czf5t6bQ6rTn/6Nm61I77r8mL+M/oN4tqAzL2ZTLh3o8xAjoX3np+pdi87mA6D8+cHpKOuSUzo8QUzOIFYW8NuZAbJ3/PpozD2DQNn64zpntPzmul5NBjwUnZw1dKHWRBsJduKdskGukDwdgbfkLEQ/JrEKbl44L4G9ESw0M9Uk8H/1IQKWDvgRAa0vM7MuteoHiWhxOR9h3Cpv4AFKXjnx3uYcfa3WHHk2sn8s2B9ytl9v/IzOl8s3Z1WNzeabXiPWYT9wgpTiezR99kKke8OeMw6fn5dKhbt1I0a2o6NbqHrxAWhJZYtv64RoQ2eNKNcPSB5JdAqw9ohSuKMYiE200zdoSlLsJ5PsLR66gNjgFga0dQK+gILnANVo5fUSb2bQ3XzQHIzcwvsW6gIhzIyzPdsLVqmml/3CyPh97vvc3CPeEPqdapafRt0lQ5/hhzUjr/cmE71fy4pSFgR3MNQdSZjai3AlF3MViaIg+ejTxwCkb6GRgF35V4eSEsiNSPIPFhsJ0Gtp6I5OcRSS9G/aMoqid/TV7EXac/zjWtbuO1f71D+q7y6c83bFXf9HhiagIOV+U0/jirRUtTJ+8JBEwfChIoCAS4acoPeAMli8EpYkNUnL8Q4nwhxAYhxGYhxMMm5x1CiK8Kz/8thGgejftGE5H4MKGzcoKvEx8rWkYLIRDCgfT8CtmPgLEnOMw4ADnPYhR8W/I9hB0t/kq0tK/R0j5DuIaWbXWiOGH59r9TePHK11n71wb2b0tn2od/MKbLA+VqvH7ji1eFOXlHnIPR/x5ZaRu+l53angaJiUVaPxCUZWibmoYnQnMVCCZS/G0y+1fEngp7HiGEBRgPDAbaAaOEEMUT128EMqWUrYHXgIpXXUUZYe+KSPsf2PsHs3NsPREp76KZdebKM0v9dEPea1VhquIEw1Pg5aMnv8JzjByzHtApyHXz5cs/lPl6vYd249HP76ZRmwYITVCncRp3vHkjQ28+N5pmh+Cy2fhhxNXc1asvHevW4/QmTXnj/AsY3q6D6YqgCAF+I/LDoTxszcxg/MIFjFs4n42HT9zuXbEmGtk+PYHNUsqtAEKIL4GLgLXHjLkIeLrw+2+BN4UQQlaz3WZh64hIfe/4A3WTjWEA4yBS6giTLmBSGsEaBBGPEJWzNFdUT3at34PFGj7P0v06y4/pqFUW+l7Ug74XVW0BVILdzpjuPRnTvWfRsRyvl3EL54dU7h5LwDDo3ahJ1Gx4f+liXl0wj4BhIKXk7cULGdOtB3eewI1cYkU0Yg6NgGMlLHcXHjMdI6UMANlAWhTuHRssxT9eIVpdU8dvuH9CHjwdmX468kB3jJwXCf4YFDWBlHrJ+H3m/991TKSYPQVePnjsc0Y2vpkrGt7E2/d+RH525Hz6WJLkcPD9FVfRt0nTkONWIXBarbx89qCISqCRMKRk2b69zN25nXzf0Q3sXdnZvDL/TzyBAAHDQJcSTyDAhCWL1AqgHERj5m8WZCw+CSjNGIQQNwM3AzRt2jTsDdWGhPtDG7UACBck3BM2VHr/hOxHjxnrh4IvkPgRSU9WhbWKGFO7URqnDWjP8lmrQxqyOOLsjHzw4pCxUkoePOcZNi/fjt8TbL845e1pLJm+ggnLxmK1Vb/SnGa1avHpJZejGwbzd+/kj+3bSHI4uOQf7WiaXLaK5Y2HD3H9j9+R4/WiCYHfMHh6wFlc0b4jv23bYvoev64zbcsm2qaFP0gVkYnGzH83cOy6rjFQPC5SNEYIYQWSgYziF5JSTpRSdpdSdq9Tp04UTKscNNcgSH4ZLE0ADbSGkPgMWlx4habMG4dpU5eCb5BGycqOiurNob0Z/PTODKa+N5PMdJMiwGN47Kt76HZuZ2wOG64EJ/HJcdw+7kY6D2wfMm75H6vZtnpXkeOHYAev9J2HmD9lSaV8jmhh0TROb9qcJ/qfyV29+pbZ8euGwbWTvmVfXh75fj+5Ph+eQICnZ//OmvQDaBH2soUQWFTiRJmJxjRiEdBGCNEC2AOMBK4sNmYycB0wHxgO/F7d4v3FkYFdQVkHa3OEtUXYec01uHSN2vUImQ5CA5kJxFXMUEVM+HH8L0x84FOEJhBCMP7O97nn3TGcc5W5Emd8Uhz/nvwwWQezyT6US6PW9U1n8ZuXbgtr0A7gzvOwcckWzri0V8hxwzA4sOMgcYkukmsnhb3vROLvPbvJ94d/dp+u8/nqldzeozcv/Tkn7LxFaJzfWtXKlJUKO38pZUAIcTswDbAAH0gp1wghngUWSyknA+8DnwohNhOc8Y+s6H0rCyn9yKz7gno7wgYygLR3Q9Qaj9DK4aitHcA3i/AolwW06ru6UURm96Z9THzgM3yeUEf12k0T6Hp2R1Lrp0R8b606ydSqkxzxfL3mdbA7bbj9oRkyzngHDVqEChQu+nUZr974NnnZ+Ri6Qccz2vHI/+4s8frVmWyvx7TNoyElGe5gQ5enB5zN07NnIhDIwr+pB/qeTsuU43cnU4QSlQCilHIqMLXYsSeP+d4DhHemqIbIvPHgnQV4Czt2Ab7FyNznEcnPY+R/BQUfgXBC4sNojl4lXA1E4l3IwwsIE5tLuFNl/ZygzP76L/RAePqi0ATzJi2k+6DT+N/z37H6z3XUa16XUQ9fwmlndijVtftc2B1XggtvvhfDCDo3IYJN1weOOJrRsmPtLp4Z/ireY9JHV85ew6ODX+CtxdUuk7pU9GjY2LTBe5zNxnktgzP7ER06MqB5c6Zv2YwhJee2bE2jpBN7xRMrqt/uUawp+ILwGL0X3D9ieOaAPKa0PvMaDNtAtLSJES8nbO0g7X/I3LHgXx3MCEq4DeEaWinmKyof3R9AmsgTS0NyaG8mY7o+gCffi6Eb7Nm0nzXz1nP3O/+KGBI6FpvdxuvznuPla8axfuEmEIKWnZrx0Cd3UJBTQPbBHOq3qMukcb+EhYcCfp1dG/awZcV2WnVuzvqFm/h67GT2bT1A54HtGX7fsFL1740VtePiuL1nb95a9HdRP2CX1Urr1LSQRub1ExK5tnOXWJl50nBSCruVF2nkIdN7Y6q+WRKpU9DswV9OKT0gdYQWH30DFdWCzcu3cXe/x8N0dOxOG13O6ciiqcuKZu1HSEpL4Ov972EpQyPyvKx8pJTkZeXz7yv+y/Y1u9A0QXLtJGrVTWbj4vDsl/hkF498dhdet4//jH4Tn9uHlGC1W3AluJiw9D/UbVq9w41/7drJZyuXk+vzMqR1Wy49tb3q5lUGSivspn6iFGr5574CBZ9grrkPwcQo82YU5L6IrDUWmf0I+P4CJNLWHpH8EsLa2vw9ihOW1qe14KLbz+fH8b/i8/gRQmCzW7nmqcuZ9MbUMMcP4HX7OLQ7g3rNSu94E2rFowd0bu58H4f3ZiILr5u+8xCH92Vid9rC9h18ngAtOzfnlm4PFkk+AwR8OvnZBXzyzDfc886/+O2zOcz4dDY2u43BN57FGZf1rtKmMCXRt0nTsLoBRfRRzh+QBZ9BwWeYN123FW78CiBSoY2BzLiyMLOn8OHhX4U8PBLqzERoJ+YGnCIyN718DQOu6MucbxdgsWoMHNGPFh2aMuurvzi8N7w/g6FLElJKXg0e2HGQDYs2k9YwlXZ92iKEYMmMleRnu4sc/xGEEFhsFiy6gV64OWx32jn90p74fX48+eGd5wzdYPG05Tw+9EVWz1uPJz/4+776z3UsnraCe98dU94fh+IERDl/gPz3Cd2QPYIA1yiIvxaynwD/fPP3O86B/NcIXTVIkD6k+wdE/HXRt1kRc9p2a0Xbbq1Cjo18+BLGXj8+ZCPW7rRx+qW9iE8yzxYzDIPXb3mXGZ/Mxma3IqUkrVEqY397kkN7MjD08BVnwBeg//DeJNSK589JC8nNyMPQdf76YRErZq0h4Ddfwdqd9hDHD+DJ9zLz87lcevcFNG8fPSkGRfVGOX8ozLc3Q0Mk3ovMeRL8EQpsLJ0QmjXYQCYMT4WbxytOLAZc3of929P57Nlv0DQNvy9Ar6HduGdi5Fn19I9m8fvnc/F7/UWbuHs37+fBc/+N1WYJeZAcwZngoOfgrgy4og9/fv83AV8AKSUBvx4iIBfynjgHTU5paN4PQEqW/766ws5/0+HDPDd3Fov27ibR7uC6zl34V7ceqjVjNUQ5fwBbZ/AtCD9uaQTGPvBMw3wT2Ar6GmTOBsBEu0XEIWydomysoroz4oGLuPj289m7eT8p9WsdN+/+h3G/hMzEIRii2bV+j+l4u9NG3Sa1OWN4bxb9uhx3vte0qVAIAi695wKklCz9bWXYysBitZCUlnD8D1cCe3JyuPTrzynw+5AEtf7HL1rA9qxM/nNu5bSXVJQf5fwJavnLjFGFef0GQSkiOyQ+Cb7lRFbBOOLwzWb9VhC1wDWkEixWxBKfx8e0D/9g9jfziU+OY+iY8+gx6LSQMQ6XgxYdm5XqegW5ZiFHc5zxTi675wIuv/9C7A4bGfsyMUrQ0z/6Pgeblm5l2e+rTUNCmqbRpwwqoVtX7mDX+j00a9+kaLXw3rLF+PRQdU93IMDkjeu5v+/p7M/L492li9mVncWpdeowqkNnOtUzb0yjqHyU8+dILv73yLwJ4PsbZC7IfMi+E2lphumsPiIaEA+uQYiE+xBCtao7mfD7/NzT/0l2rN1VlE2zZMZKLr9vGNc9M6Jc1zz90l78MG5qiOhbJBJT4xn97NEC+XZ9TzGRSDSx2xNg2W+rCfhD72G1WUhMTeDZHx/CFX/831V3npvHh73EhkVbsFg09IBOhzNO5ZlJD7DiwH78JvUPDouVL1at5J2li4oawK9MP8BXa1bTJjWNd4ddXGYdIEXFUYG4QoS1FSL+ejCygo4fgk3gA+uAcL2RyFgQdWeiJb+AsJy4qtUKc2Z/PZ+d63aHpFF6C7x89Z8fydgfae+oZEY+fDFpDVJxxDkAsNgi1wLUbRKqXNmiQ1N6De2Gs/C9kdB1PczxQzBr6H87J/CPnqXTxplw78esW7AJb4GXglw3XrePVXPW8sGjX9A2Nc1UYM0b8PPximVFjv9YNmUcZuR3X6EXPjQMKdmRlcXB/OopYX0yoWb+xyDz3sY83bMsiKC8syLmGIbB3G8XMP2T2WgWwfnXn0Xfi3pUKJ/9r8mLwuLzADa7lVVz1jHgirI3FUlKTWTiyleY/vEsls5cRf3mddm/LZ3F01bg8xx9yDjiHIx69NKw9z/6+V1MfXcmP78zA6/HR9aBLNx5HvRA0KHaXTb83oDpvoAe0JG6Abbj2yml5LfP5oRVFvs8fn798Hf++8RrTNm4AXfg6OzfYbHQrWEjlu3bF/G6uV4f83btxKIJ7p/+KzleD7qUdKxbj3GDh1I/IfH4xinKjHL+xxLYSKnW0BGxg3MwQpQ8C1NUPlJK/n3Ff1k8bXmRs17++2oGXN6H+z+4rczX27FuN9M/msXOdXsQmgjLu4dgA/Xy4kpwcdFtg7notqBSrM/j4//GTGTW139hsWhYbVZuHnsNvYZ0DXuvxWJh2JjzGDbmPAByDufy0ZNfMvfbBVhsVs6/4UzWzNvA8j/Cu4Y1ObURdmfpNKaklBGb0vg8flqlpvHxxZfx+B8z2JyRgU3TGH5qB27r2ZOBH38Q+bpI1h5MZ9zC+UWyDgDL9+/j6u+/YcY111ebArSTCeX8j8X6D9B3ELGSNwRBsOG7t/BfHey9EEnPVKaFilKyZt76EMcPwXz2WV//xaV3D6Vlp9JtxgJMfe83xt/1Ibo/UDSbLo4z3kHnM9ubnisPdqedBz+6ndvH3Uj2oRzqNqmNxVo6aYiktETuHH8Td46/qejYttU7uavvY3jdPgzdQGgCm8MWMuZ4aJpG+76nsGbeeo5dRAgh6FIoXNe9YSN+vWo03kAAq6YVpXj2a9KUOTu2o5usPgwp2ZqZSaDYfoEuJQfy81iyby/dG0bonqcoNyrmfwwi4TagtLN2Ca6LEXX/QqS+i6jzK1rqe+WTfVZEncXTV5jmu+sBnSXTV5T6OrmZeYy/8wN8bl+Y47e7bFhtFqx2K01PbcSqOesqbHdx4hJdNGhRr9SOPxJN/9EouDlMUH1U0zSSayfSsFW947wzlLvevhlXogu7MxgnsjttxNeK49Y3bggZ57BaQ3L7/3veELo0aBjW0s9ltXJ+qzbk+rymm8UAB/LyymSjonSomf8xCFtbSP0Ymfs8+FdxNO3TLBTkQjjPQ2ipYK++Sok1lcSUBOyOcO0bq816XJkFCEotHNx1iD1b9mO1WcOuAwR/LTRBwBtg+R9rWPf3Zv754pVcfEf1S+/9/vWfWf3nuqJqYd3QObw3k+evfJ3XZj9b6us0b9+ED9e/zk/vzGDLsu206d6Sof8697i1DMlOJ18PH8m6g+l8uHwpi/ftJd5m46qOnbmifUf+t3I5c3ZsCwn7QLABvEoHrRyUqmcJyMBWZM4L4JtL6APACY6BiFqvq1hkNSVjfybXtr4jrDrWGe/gi13vkFDL/AFQkOvm2eGvsGruOmwOW/D9QhAwiXVrFi1MesHhsvP1/veIS6wem/5SSgpyCri1+8Ps3bI/7LzVbuWrPRNJSovtpmq+z8fgzz/mQF4+fiNYh+CyWhna9hRePkcViJUFpepZAlJK8C1EemcGq3BdF5m2akTfB75FhM38tRRIfk05/mpMav0UnvzmPp4f9VrRMc2i8fR3D0R0/ACv3PgWK+esxe8NmM/2CxFCmGruWO1WNi/bRqf+7Sr2AaLAzM/nMvH+T8g5nEvApPkMgKaJkIyiWBFvtzN55NW8vWghv27ZRJzNxrWdTmNEB1UhX1nUOOcvpURm3wve30F6AAsy/31k0tNhDdhl/ieYCr4ZWQh9C2htq8RmRfnoObgL3xx4n9V/rsdi0Wjf7xTTvrlHKMh1s2DKklIVW9kc5qGggF8vcRZtGAabl20j4Ndp261lifZUhAU/LeG1myeE1COYUbtxGmnVpMFLLaeLR84YwCNnDIi1KTWCGuf88c0O9ueVR5x6IPiV8zTSeU6o/HIkwTdhAZld2ZYqyoCUkq0rd5B9KJdTurckPjk4u7c7bHQ9u2OprpGfXYDQSreaM3P8mkWjUev6EcXRNi7ZwlMX/yd4HyGwWDUe+fzuMGmIaPDJ01+V6PhtjuBm9UMf365WsDWUGuf8pXtqsHK3OMIabMTiHHz0mOMc8K8nvK2jDrbS9WRVVD7pOw/yyJAXSN9xEIvVgt8bYPS/R3D5fReW6TppDVNIqBVHhrtsYRCLNZjx06hNfZ7/6RHTMZ4CLw+d+2/yskIrV5+57BU+2vA6ngIfHz3xJavmrCWlfi1GPXIpAy7vUyY7jmX/9oMRbe13SU9adGzK+TecRe2GqXjdXuZ8s4Ctq3bQvH0TBlzR97gVw4oTnxrn/BF2zDN4BMXLHEXclUj3t6DvJ/gAEIADEh9FqCreasNjQ19k94a9ITH4j5/6mladm9P1nNLHjDVN4663b+aFUf+Hz+MP7g1FSvY6BofLzhvzn6dZu8hyyPMnL0Y3EWAzdJ3v/u8npr47E3eeB2lIMvZnMfb68ezfns6IBy4qtf3H0qJjU1bOXht23JXo5NHP7ypqJ3lobwZ39H6EvKwCPHkenPEOPnj0c8YteKHat3tUVIwal+cvXJcSLMoqjgGOfqFjtQRE2iRIuBtsvcB5ASL1Y7S48gl4KaLPjrW72Lc1PWzz1VvgZdIbU8t8vb4X9uC/c56l/xV9aNO1Jb2GdC3KaY+EK9FVouOHYNWt7g/fIPZ7Ayz8JViMdmzVsLfAy2fPfoPXXT65kRtfuBJHXGjlriPOwfX/HhnSR/ituz8kc38Wnrzg6taT7yXrYA5v3PZeue6rOHGocTN/Ye+KjL8R8t8lqMNjAQxErfGms3mhxSMSboCEG8LOKWJPbkZexAKorIM55bpm226tePyLewDYt+0AN3e6L+JYu8vOkJvOPu41Ow1oR1iFE+BKcJKXmW+aOSQ0jb1bDtCiQ9n72bbrcwovTXuC9x7+jK0rdlC7USrXPHUFPYd0IfNAFrXqJiOEYMGUJWHFa4ZusOjX5Ugp1X7ASUyNc/4AWuKdyLjLwDs3KMLmOBuhVayRhSI2tO7aEt0kjdHutNGvDPr0kXjlhrfwmewBWKwWrDYLp53VgVGPXHLc6xi6gVGsgtVitdC2eyssVo2MfeHJBQFfgNT65Zc67tDvH/zf3OeA4MrjP6Pf5D+j30QIqNOkNg98cCuaxXzxH+m44uShRjp/AGFpBHEjjz9QUa1xxjkY89/rmHDvR/jcPqQMzsZrN0xh2K2DKnRtr9vLmnnrMUxE3Kx2K+MWvFCqWblhGDwx7CUCxVJIhQbDbhlEcu1E1vy1ISQ7x+600efC7iTXTqrQZ4BgJtSD5z7LjjW7ihq57N28n0cGP0+PwaexYMqSkCI2i81Cv4t7qln/SY56vCtOeIbefC4vT3+S/pf3oWP/U7numRG8vXRsxIbppaUk52d32kodjtm0dFtYlg9AwKfz6we/c9qZHbhn4hiSaifiiLNjc9joP7wPD3xYdvVRMzYu2cqeTfvCOngFfDop9ZJp1KYBrgQnVrsVV6KTBi3qcsebN0bl3orqS42d+StOLtr3PYX2hcJl0cLutNN5YAeW/7E6JCZvc1g5c9Tppb6O3+OLWD9wRH7i7CvPYOCIvhzek0FCSkJU5SHSdxw0DeME/AEO7jzMxBWvsGTGSnau3U2TfzSi23mdQjaFFScnNdb5S30/Mv8j8C8DaytE/A0Ia+tYm6WoZtz3/i3c1e8x8rML8Ll92J12GrSsxw3Pjyr1NZyJrrAGKBDMvjn2IWKxWColvbJ1lxam2kQOl52O/duhaRo9Bp1WKcVmiurLSen8j4jVRVq2y8B25OHLCuUd/OBfifT8DLUmIhy9qtBSRXWnbpPafLL5TeZPXsy+rem07NSUbud1RiuUKzYMAyFExN+1D5/8km9fnRKWUeNMcNKqUzMGXX9mpX+GBi3rcfqlvZn3w99F+woWq4W45DiG/PP4mUrF8RR4ydiXSWqDFFUMdgJTIVVPIUQq8BXQHNgOXCFluCaCEEIHVhW+3CmlPG7pZXlUPaWRicz5N3imAQbYT0ckPx3c3D0GI/PWoLZP8aYtluaI2tPURpfiuOzdsp/Xb3mX5X+sRrNo9B/eh9vH3UBiytGssU1Lt3LPGU/gLZYtpFk07pn4L869ZkCFdfpLi67rTHp9KpPfmoY7z03vYd0Z/exI0hqklPoahmHw4eNfMOn1qUXdzC65awjXPzeq6GGoiD1Vper5MDBTSvmSEOLhwtcPmYxzSykrdU0ppYE8fGVhJ67CJa5vLvLwcKg9M7TJiu9vTLt16btB5oFQPUMVkcnLyueO3o+Sm5mHNCSGbjDn2/lsX7OTCUvHFk0eZn39l2m4x+60IQ1ZZY4fgiGl4fcOY/i9w8p9jW9encykN34JeZhNeuMXElMTuOL+8lUiK2JHRR/XFwEfF37/MXBxBa9XfnzzwNhPkeMHwADDDZ6fQ8dGdO4aqP67iuMw49PZeN2hFbkBX4B9Ww6wam70u3nlZeWzd8t+03qGaOP3+Vk0bTl/TV5Efk6oBtY3YyeH9UfwFnj5euzkSrdLEX0qOvOvJ6XcByCl3CeEqBthnFMIsZigZ35JSvmD2SAhxM3AzQBNm5axqjGwDaSZ/noBMrAxtLgy7lrIe51QuWY7OIcgROmaWStqFn6fn3iP0wIAABRTSURBVJn/+5NZX81j94a9poqZhiHZtX5PkZb/wCv68uO4X8LCPoZu0HvYcVfluPPcjL3hLRZMWYzFasHmsHHbGzdw9pVnROdDFWP1vPU8MeylomK0gF/nzrf+yaDrgvsSORnm7RRzDudWij2KyuW4zl8I8Rtg1kftsTLcp6mUcq8QoiXwuxBilZRyS/FBUsqJwEQIxvzLcH2wtgoqc8rif5RxCOupIUdE/GikvhXcPwRn+tIH9p6IpKfLdEtFzUAP6Dx4zrNsXrYtpCF8cYSAZsfIObfp2pLh9w/jm1emoAd0NE1DCLjzrZtIqVty20OAF656gyXTV+D3BvB7A3jyvbx28zvUaZwW9WYxngIvj13wAgU5of0rxt36Hu16t6XJKY1o1q4x21fvCntvJAlrRfXmuM5fSnlOpHNCiANCiAaFs/4GQHqEa+wt/HerEGIW0AUIc/4Vwt4HLI2DKwCOrAAsoCWAa3DIUCE0RPJzyIS7ILAZLI1A34U8PBypbwGRAvE3BdM/1eZvjSDrYDaHdmfQsHX9sBz7PyctZPOy7SU6fpvDStN2jcNqDUY/M5IzR57O/MmLsdmtnDG8N3Wb1D6uPYf3ZRY6/tDVrLfAy5cv/1Bu55++8yCv3/ou6xZsJKl2Ejc8N4r+w/uwcOpSU/XSgF9n2od/8M+XruaW167nyYteCln1OOLs3PLa6HLZoogt/9/enYdHVd1/HH9/ZzJbFiBAWEJoAIkSFhGwSKGABReKClVAEUQxyg+tKG6/CsWClqqI2mLBWlBxxaIPtkKh7ku1ghWKaFGUVTRAWAx7kslkcvrHDJgwkwWSmTuT+b6eJ0+YOzP3fsKTfOfec849p67NPsuAa4BZwe9LT3yBiKQDRcYYr4g0B/oBs+t43BAiNmj6IubwA1D8D8AfWGe30d1VTr8s9gywZ2BK12L238jxeftNIRz5I8YcQdIm13dUFUNKS0p56No/8dGrn+BwJeH3+Rl55yVcc88Vxz/4P16+hpKjJ67pEBi1IyI43Q4Gj+3PhNnjwp4sZOdmkZ2bdVK59hccwOFKCtthvLuKufprsmPTLvI633r8hrXDhUeZefnvGXXnMH7UqU3I3EMQuOo5dndyz8HdmP32DJ6752W2f/Ed2V3acvU9l9O5j65oF4/qWvxnAS+LyHXAt8AoABE5G7jBGHM9kAvMF5FyAh3Ms4wxoRON1wOxNUIaPwCNHzip95kjjxK6YEsxFC3EpN6AaCdwg/XYLQtZuWw1Pq/veKF95ffLaZXdgiF5gwBo1CwNe5ItdKx+iotfL5rMORf1qvdcbU5vHXI8CMy70/3c8Gf9/jI/a978jH3539PpnBxO696u0vP3X/Vo2NlDlzyyjIUbwj/nTnXTd3jv44879zmdWa/ffZI/jYpFdRrtY4z53hgz2BiTE/xeGNy+Jlj4McasNMZ0M8Z0D35/qj6C16uyzVU/5w/bkqUagNKSUt5+4YOQWTtLjnp5afYPYxKGXj847Fq7SY4kep4fmQXGPSluxk0fiTvlhxMPm92GJ8XN6LtCB9UVfLOHqzrcxP1XzuHx259hcr9pTP/Fg5T5fhj9tnXdN2GPZQxs37CDUf8/DFeyi2MXL+4UF90HdubsC7vX68+mYkODvMP3pCV1hNIwl9IGsFc1gEnFu+IjJVR1k2PFtQCyO7fl1gUTmTNxAfYkG8YYPKlu7lvxaxzO6hd6qYsrfvULWndoyUuzl7K/4ABnDerKuBmjwk4B8bvRf6BwZ2GlGUjXvv05r8597fjY/iRnUsjkbsc0y0yn3/DR9BjUjdcXvou3yMu5V/Sj36W99QauBqpOd/hG0qnc4XuqTOlaTOF4Kjf9eCDlWmxpt0Ylg4o+Ywxjsm9kX/73lbaLwDkX9WLmsimVthcfLeHLlV/jSnaR2ycnZiY/KyzYz1XtbwrbP5B1RiZPb3gUgHm3LGTpvNdCXuNJc7Ps4PMRz6mio7Z3+OpHOoHVvST9cUjKIbC6V1NIvQVJ1c7ehkxEuHnedbg8zuNNHTa7DXeqm+tnjQ15vSfFTa/zu9O1X6eYKfwQuMGsqkFpFT8QfjlnPGf0rjx5ocPtYM6HMyMZT8UobfYJElc/xLWi5hequOIr9eHzllU5RXLfYT9m9jsz+Mv9f2XH5gJyz8lhzLTLaNOx9Ukf6+C+Q6xY8BZfrtpIu65tGfbLIbUa1llXGW2b0yyzKbu27q603eFK4twr+h5/bLPZmPfxA2xb/y0fLllF2zPaMPCKvtqsk6C02Uc1SCVFXubd/BTvvvgvyv1+WrVvyW3zJ9L93C61ev+mtVt5csoivl6zmaat0hk7bQSDx1Z9Z+2ubbuZ1HsKJUe9lJb4SHIm4XAm8fB793B6r9Pq68eq0oZ/b+Ku83+Lv8xPaYkPd6qLjKzmzF11HymNUyJ+fBU7atvso8VfNUh3X/IAn77zX0pLfmj2cCW7eOyTB0hv1YSCbXto3aFlpVk4j9n6+XYm951GSYV5bFzJLq6593JG3RF+Qtp7RzzMyqWfhCz52LFHex7/T73f1hLW/t0HeOOZ99m1dTdnDuhM/5F9cLoi1yGtYpMWf5Wwdm/fS17u5EqFHwLt+ZmntWTPt/sCI19Ky7hg/M+YNDevUhv+jEtns2rZak780/Ckulmyd2HYgjqs0TiKj4S/EWzZoedwefReERUd2uGrElbBtj04whTocn85OzYVUFrio+hQMaUlPpbPf5PLmo7nT7c9zeH9gYnLNq7ZElL4ITA66PsdhWGP6apiUROb3RbVqZuVqi0t/qrB+VHnrJCz/mNCrnQNFB0uYfnjbzKp9xS8xV5adWgZ9r3l/nKatGgU9rmLJ56P01N5RliHM4n+I/qEvUFMKatp8VcRtTf/exbd/wrzblnIqr+vwe+P/Jz06S0ac+H4cyudjdc0QZ+vtIzCgoO8/9JKxv1mJK7kyoXc5XFywfif4UkNP2pozLTL+PGQs3C6HSQ38uBKdnH62acx+fEJdf+BlIoAbfNXEbP6jXXcO+Jhyv1+fN4y3Klucnq058G3fhPRO2MhsOTg3x5dwStzVnD0YBHdB3Zhx+ZdfLthR7XvG5I3iDuevJH3X/6Ix299hkOFR7An2bhownlMmD2uxrP4/E272Pb5djI7tgqZWyfa8jfu5OnfLGb9hxto2roJV069jAEjf2JpJhV52uGrLFXmK+PyVhOOt6Mf40p2MfHhq7nkhguinmn9R18x5cLfUVpcGnZaB6fbwbjpoxg95VIg0ER0uPAInjR3xD+s6tvOLQXc2OtXgSksgiOQxCZ0ODOb25+4ISrDT5U1tMNXWWrT2m1hlx30Fnl554UPLEgEXft1Yu6q+xgwqg92R2gnrD3JzoXX/uz4YxGhUbO0uCv8AC/MXELJ0cpLTZpyw5Z133DbgOn88+WVFqZTsUCLv4qIJIe9yknTHG7rimn7btncvfh2nt/yGF375wZuxnI5aHtGJg+9M4P0lk0sy1afvvjoq7BTNAOUFpcy58YFUVkTWMUuHYagIuK0s9qR0iQlZOy7O8XFRROqXBwuajKymvGHf/6WQ4WH8XnLaNY6Pezr/H4/JUe9JKd54mpVt5btWrBzy+4qn/f7/ORv3El2Z12CMVHpmb+KCJvNxsyld5GanoInzY3L48TpcTJw1E8YeHnfmncQJY2apoUt/H6/n6emLuIXTa5hRPM8xmTfwAdLVlmQ8NRcOfXSkBFLFZWV+UkNc3ezShx65q8ipmOP9izOn8/Hy9dyaN8hzhzYOW7ONOff+Rz/eOLt4+vV7ssvZPb4eaSmp9JzcDeL09Wsx6Bu3Dp/In/85RMUH6589ZXksJN7Tk6VVzsqMehoH6VOUFLkZWRGHt4TVvgC6PrTTvzhg/iZArmszM+f73iWfyx4C6fbSZnPT7suWfxu+VSaZDS2Op6KgNqO9tEzf6VOcGDPQcQWvn2/unb0WJSUZGfSo3lcPWMUmz/9hmaZ6Se9mLxqmLT4K3WCZpnpSJg57kWg41ntoh+oHjRqmhYXzVUqerTDV6kTOJwOxt49AvcJk7U5PU7GzxxtUSql6pee+SsVxuV3DiO9RWNevO8VCgsO0LFHeybMHkdOzw5WR1OqXmiHbximvAjwgjSJq7HdSimlHb6nwJQfwhz8NXjfC2ywZ0Lj+xHnj60NppRS9Uzb/Csw+ycEC78v8OXfjim8HlO23epoSilVr7T4BxnfRvB9RaDwV+TDFD1nRSSllIoYLf7H+PNBwi23VwZlW6MeRymlIkmL/zGOTmDCLf3nAmevqMdJFOXl5ZSXh599UikVOXUq/iIySkS+EJFyEamyd1lEhojI1yKyWUSm1OWYkSL2THAPBSou02cDSUaSx1gVq8Hav/sA94x4iKHuMQxxjiYvdzLP3vMSe/O/tzqaUgmhTkM9RSQXKAfmA3caY0LGZoqIHdgInA/kA6uBK40xX1a3byuGehrjxxx9FopeAHMUXAOQtNsCHwyq3vjL/OTlTmb39n0hc8o73A5unncdP88bbFE6peJbVIZ6GmM2BA9W3ct6A5uNMVuDr10MDAeqLf5WELEjqXmQmmd1lAbtk9c+Zf+eg2EXE/GV+Jg36Sl6/7ynzjqpVARFo82/DfBdhcf5wW0hROT/RGSNiKzZu3dvFKIpK+Rv3IWvJFz/SoCIsHLp6igmUirx1Fj8ReRtEVkf5mt4LY8R7rIgbFuTMWaBMeZsY8zZGRkZtdy9ijftumThcFW/lGPFtWeVUvWvxmYfY0xd19zLByqu4JEF7KzjPlUc63VBd1pkZ5D/9c6wTT/GGPoOr7HJUilVB9Fo9lkN5IhIexFxAqOBZVE4ropRNpuNOR/O5PyrB5DkCN5bIWB32HG6HUx85Bqat2lmbUilGri6jva5FJgLZAAHgHXGmAtFJBN40hgzNPi6ocAcwA4sNMbcV9O+dSWvxLH9y+/46NXV2JPsDBjZh9YdWlodSam4VdvRPjqrp1JKNSC1Lf56h69SSiUgLf5KKZWAtPgrpVQC0uKvlFIJSIu/UkolIF3GUal6VnS4mBdmLuGdRR8CMHhsf8ZNH4kn1VPDO5WKHi3+StUjv9/P7QOn8+2GHfi8gfmLXp37Gp++818eWz0Lm00vtlVs0N9EperRmtfXsXNzwfHCD+Dz+tixaRdr3vjMwmRKVabFX6l6tGntNoqPloRsLynysmmtLgeqYocWf6XqUct2GXhS3CHb3ckuWrVrYUEipcLT4q9i3oG9B1n84Ks8ePVclv7pdYoOF1sdqUr9R/TB6XFWWuBIbILL4+Snl/W2MJlSlencPiqmbfvvdm4bMB2f10dpiQ93sovkxsk8tnoWzTObWh0vrPxNu3jw6rlsDjbz5PTswF3P30ybjq0tTqYSgU7sphqEm3pPYeOaLZW22ZNsDLyiH1Ofv8WiVLVzeP8RANLSUy1OohJJVNbwVSqSSoq8bFm3LWS7v6ycj//+HwsSnRwt+iqWaZu/ilk2u61S23lFTpeetyhVF1r8Vcxyuhz0Htrzh9W+jm13Oxhy3SCLUinVMGjxVzHt9iduIOuMTDypbtwpLlzJLrr068S46aOsjqZUXNNrZxXTGjdvxILPHmH9v75i55YCOpyZTU7PDlbHUiruafFXMU9E6NY/l279c62OolSDoc0+SimVgLT4K6VUAtLir5RSCUiLv1JKJSAt/koplYC0+CulVAKK2YndRGQvsD0Kh2oO7IvCceqDZo2ceMqrWSMjnrJC1XmzjTEZNb05Zot/tIjImtrMgBcLNGvkxFNezRoZ8ZQV6p5Xm32UUioBafFXSqkEpMUfFlgd4CRo1siJp7yaNTLiKSvUMW/Ct/krpVQi0jN/pZRKQFr8ARGZKSKfi8g6EXlTRDKtzlQVEXlIRL4K5v2biDSxOlNVRGSUiHwhIuUiEpOjKERkiIh8LSKbRWSK1XmqIyILRWSPiKy3OktNRKStiLwnIhuCvwOTrc5UFRFxi8gnIvJZMOu9VmeqiYjYReRTEVl+qvvQ4h/wkDHmTGPMWcByYLrVgarxFtDVGHMmsBGYanGe6qwHLgM+sDpIOCJiBx4Dfg50Bq4Ukc7WpqrWM8AQq0PUUhlwhzEmF+gD3BTD/7deYJAxpjtwFjBERPpYnKkmk4ENddmBFn/AGHOowsMUIGY7QowxbxpjyoIPPwayrMxTHWPMBmPM11bnqEZvYLMxZqsxphRYDAy3OFOVjDEfAIVW56gNY8wuY8za4L8PEyhUbaxNFZ4JOBJ86Ah+xWwNEJEs4CLgybrsR4t/kIjcJyLfAWOJ7TP/ivKA16wOEcfaAN9VeJxPjBaoeCYi7YAewL+tTVK1YDPKOmAP8JYxJmazAnOAXwHlddlJwhR/EXlbRNaH+RoOYIyZZoxpCywCJsVy1uBrphG4tF5kXdLaZY1hEmZbzJ7xxSMRSQVeAW494Qo7phhj/MFm3yygt4h0tTpTOCJyMbDHGPOfuu4rYZZxNMacV8uXvgisAGZEME61asoqItcAFwODjcVjdU/i/zUW5QNtKzzOAnZalKXBEREHgcK/yBjzV6vz1IYx5oCIvE+gbyUWO9b7AcNEZCjgBhqJyAvGmKtOdkcJc+ZfHRHJqfBwGPCVVVlqIiJDgLuAYcaYIqvzxLnVQI6ItBcRJzAaWGZxpgZBRAR4CthgjPm91XmqIyIZx0bNiYgHOI8YrQHGmKnGmCxjTDsCv6/vnkrhBy3+x8wKNlV8DlxAoCc9Vs0D0oC3gkNT/2x1oKqIyKUikg/8BFghIm9YnamiYMf5JOANAh2SLxtjvrA2VdVE5C/AKuAMEckXkeuszlSNfsA4YFDw93Rd8Gw1FrUG3gv+/a8m0OZ/ykMo44Xe4auUUglIz/yVUioBafFXSqkEpMVfKaUSkBZ/pZRKQFr8lVIqAWnxV0qpBKTFXymlEpAWf6WUSkD/AzCMc8FhycsZAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fd9e0fae0f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fd9e0faec88>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "agglo_Manhattan = AgglomerativeClustering(n_clusters=3, affinity=\"manhattan\", linkage=\"complete\").fit_predict(X)\n",
    "PlotClusters(reduced_data_df, agglo_Manhattan)\n",
    "# Original\n",
    "PlotOrig(reduced_data_df, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fd9e0e2da90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fd9e19b0160>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "agglo_Cosine = AgglomerativeClustering(n_clusters=3, affinity=\"cosine\", linkage=\"complete\").fit_predict(X)\n",
    "PlotClusters(reduced_data_df, agglo_Cosine)\n",
    "# Original\n",
    "PlotOrig(reduced_data_df, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Euclidean \n",
      " Homogeneity: 0.700115437096 \n",
      " Completeness: 0.745438275302 \n",
      "\n",
      "Manhattan \n",
      " Homogeneity: 0.778176865951 \n",
      " Completeness: 0.803588540623 \n",
      "\n",
      "Cosine \n",
      " Homogeneity: 0.717058965034 \n",
      " Completeness: 0.773421193274 \n",
      "\n",
      "K-Means Metrics \n",
      " Homogeneity: 0.751485402199 \n",
      " Completeness: 0.764986151449\n"
     ]
    }
   ],
   "source": [
    "#Euclidean\n",
    "metric_AggloEuclidean_homo = metrics.homogeneity_score(y, agglo)\n",
    "metric_AggloEuclidean_comp = metrics.completeness_score(y, agglo) \n",
    "\n",
    "#Cosine\n",
    "metric_AggloCosine_homo = metrics.homogeneity_score(y, agglo_Cosine)\n",
    "metric_AggloCosine_comp = metrics.completeness_score(y, agglo_Cosine)\n",
    "\n",
    "#Manhattan\n",
    "metric_AggloManhattan_homo = metrics.homogeneity_score(y, agglo_Manhattan)\n",
    "metric_AggloManhattan_comp = metrics.completeness_score(y, agglo_Manhattan) \n",
    "\n",
    "#Kmeans\n",
    "metric_Kmeans_homo = metrics.homogeneity_score(y, reduced_data_df[2])\n",
    "metric_Kmeans_comp = metrics.completeness_score(y, reduced_data_df[2]) \n",
    "\n",
    "print (\"Euclidean \\n Homogeneity:\", metric_AggloEuclidean_homo, \"\\n Completeness:\", metric_AggloEuclidean_comp, \"\\n\")\n",
    "print (\"Manhattan \\n Homogeneity:\", metric_AggloManhattan_homo, \"\\n Completeness:\", metric_AggloManhattan_comp, \"\\n\")\n",
    "print (\"Cosine \\n Homogeneity:\", metric_AggloCosine_homo, \"\\n Completeness:\", metric_AggloCosine_comp,\"\\n\")\n",
    "print (\"K-Means Metrics \\n Homogeneity:\", metric_Kmeans_homo, \"\\n Completeness:\", metric_Kmeans_comp)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2 QUESTÃO"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "metadata": {},
   "outputs": [],
   "source": [
    "#elbow\n",
    "distortions = []\n",
    "K = range(1,10)\n",
    "for k in K:\n",
    "    kmeanModel = KMeans(n_clusters=k).fit(X)\n",
    "    kmeanModel.fit(X)\n",
    "    distortions.append(sum(np.min(cdist(X, kmeanModel.cluster_centers_, 'euclidean'), axis=1)) / X.shape[0])\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fd9e0ecfd68>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot\n",
    "plt.plot(K, distortions, 'ro-')\n",
    "plt.xlabel('k')\n",
    "plt.ylabel('Distortion')\n",
    "plt.title('The Elbow Method showing the optimal k')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fd9e1053630>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fd9e0fbd048>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "kmeansOptimal = KMeans(n_clusters=2).fit(X)\n",
    "predictions = kmeansOptimal.predict(X)\n",
    "PlotClusters(reduced_data_df, predictions)\n",
    "# Original\n",
    "PlotOrig(reduced_data_df, y)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
